I had similar problems with my trike with electric drive and settled on Schwalbe BIG BEN, 55-406. First, it's classed as a balloon tire, aka over 2 50 aka 2 inches.
It's rated by some EU standard, ESE-E75, for e-bikes, which I think means it's side walls are able to withstand the torque and the tire the higher speed and load possible for long distance, ie, withstand internal heating. Could find anything on the Web to explain what the testing is. But Schwalbe does not slap the rating on all model tires, even those that are in the same line.
I also bought a Schwalbe tube, standard, that was beefier than the tunes that kept going flat or leaking or blowing up.
My theory is the standard tire and tube were not able to withstand the torque and load that were possible with the electric drive. I did not and do not go fast, seldom exceeding 10mph and then only going down hill without added power. Pressure is a tradeoff in that high pressure improves strength, but also must enlarge any flaw in the tube, even when well backed by tire carcass.
Note, in the year before I upgraded to electric, just moving the tire and tube, I had no flats. My use did not change much in the year after, but I had a flat, slow leak, blowout. The tire showed no sign of damage, puncture, etc that would explain the tube problems. The ungeared hub motor is a good bit of mass, so even though I ride really decent roads, I'm sure that imputes more shock to the tire and tube.
The balloon tire handles higher loads at lower pressure. Might have lost performance in rolling resistance, but the handling seemed to improve, less squirm.
Couldn't find other tires certified for e-bikes in my 406 size besides Schwalbe, but Schwalbe has so many models, I could locate them only on the Schwalbe US site for ordering. (One lbs carries Schwalbe but they cater to the performance biker service needs, so ordering direct is faster.) Figuring out the model options is best done with the catalog: www.schwalbetires.com/taxonomy/term/616
Then you can see what they have in stock. www.schwalbetires.com/product_search
Too many models of tires it seems to me, but maybe that is just great customer service in catering to every customers' performance needs.